Integration by Parts for the Denjoy-Bochner Integral |
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| Authors: | Ye Guoju Wu Congxin Lee Peng Yee |
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| Institution: | (1) Department of Mathematics, Northwest Normal University, Lanzhou, 730070, China;(2) Department of Mathematics, Lanzhou University, Lanzhou, 730000, China;(3) Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China;(4) National Institute of Education, Singapore |
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| Abstract: | In this paper, we prove two integration by parts formulas for the Denjoy-Bochner integral, and give a representation theorem for the space of Denjoy-Bochner integrable functions.AMS Subject Classification (1991): 26A39, 28B05.Supported By Foundation of Postdoctoral Fellow and NWNU-KJCXGC-212. |
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| Keywords: | Bochner integral Denjoy-Bochner integral Henstock-Bochner integral |
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